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Finding the Third Proportional to 287,637.75 and 429,816.38

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Solution

The third proportional to 287,637.75 and 429,816.38 is: 642,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,637.75 : 429,816.38 = 429,816.38 : x
  2. Step 2: Convert to fraction form
    287,637.75/429,816.38 = 429,816.38/x
  3. Step 3: Cross multiply
    287,637.75x = 429,816.38 × 429,816.38
  4. Step 4: Simplify right side
    287,637.75x = 184,742,116,218.14
  5. Step 5: Solve for x
    x = 184,742,116,218.14/287,637.75
  6. Step 6: Final answer
    x = 642,273.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.